%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM561+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:20:23 PM UTC 2026
% Result : Theorem 25.49s 8.67s
% Output : Proof 25.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 19 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 5 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,hypothesis,
aElementOf0(xx,szDzozmdt0(xF)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2911_02) ).
fof(f69_nnf,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(nnf_transformation,[status(thm)],[f69]) ).
cnf(c154,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(cnf_transformation,[status(esa)],[f69_nnf]) ).
fof(f70,conjecture,
( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
| ? [W0] :
( sdtlpdtrp0(xF,W0) = sdtlpdtrp0(xF,xx)
& aElementOf0(W0,szDzozmdt0(xF)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f70_neg,negated_conjecture,
~ ( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
| ? [W0] :
( sdtlpdtrp0(xF,W0) = sdtlpdtrp0(xF,xx)
& aElementOf0(W0,szDzozmdt0(xF)) ) ),
inference(negated_conjecture,[status(cth)],[f70]) ).
fof(f70_nnf,plain,
( ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
& ! [W0] :
( sdtlpdtrp0(xF,W0) != sdtlpdtrp0(xF,xx)
| ~ aElementOf0(W0,szDzozmdt0(xF)) ) ),
inference(nnf_transformation,[status(thm)],[f70_neg]) ).
fof(f70_sk,plain,
! [W0] :
( ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
& ( sdtlpdtrp0(xF,W0) != sdtlpdtrp0(xF,xx)
| ~ aElementOf0(W0,szDzozmdt0(xF)) ) ),
inference(skolemisation,[status(esa)],[f70_nnf]) ).
cnf(c155,plain,
( sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx)
| ~ aElementOf0(X0,szDzozmdt0(xF)) ),
inference(cnf_transformation,[status(esa)],[f70_sk]) ).
cnf(p157,plain,
~ aElementOf0(xx,szDzozmdt0(xF)),
inference(equality_resolution,[status(thm)],[c155]) ).
cnf(p161,plain,
$false,
inference(resolution,[status(thm)],[c154,p157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM561+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.38 % Computer : n009.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 04:38:19 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 25.49/8.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.49/8.67 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------